Review of geometric quantization and WKB method

Nicholas M. J. Woodhouse

Anatol Odzijewicz

Alexei A. Abrikosov, E. Gozzi, D. Mauro

In this paper we briefly review the functional version of the Koopman-von Neumann operatorial approach to classical mechanics. We then show that its quantization can be achieved by freezing to zero two Grassmannian partners of time. This method of quantization presents many similarities with the one known as Geometric Quantization.

Jędrzej Śniatycki

Peiyuan Teng

This text introduces geometric quantization on orbifolds. After reviewing the necessary background, it develops new treatments of prequantization, polarizations, and metaplectic correction for symplectic orbifolds.

D. J. R. Lloyd-Evans